A body of mass $0.5\; kg$ travels in a stratght line with velocity $v=a x^{3 / 2}$ where $a=5\; m ^{-1 / 2} s ^{-1}$ What is the work done (in $J$) by the net force during its displacement from $x=0$ to $x=2\; m ?$
$50$
$30$
$40$
$60$
A graph of potential energy $V(x)$ verses $x$ is shown in figure. A particle of energy $E_0$ is executing motion in it. Draw graph of velocity and kinetic energy verses $x$ for one complete cycle $AFA$.
A rough inclined plane is placed on car moving with a constant velocity $u$ on horizontal ground. A block of mass $ M$ rests on the inclined plane. Is any work done by force of friction between the block and inclined plane ? Is there then a dissipation of energy ?
A particle of mass $m $ is moving in a horizontal circle of radius $r$ under a centripetal force equal to $ - K/{r^2}$, where $K$ is a constant. The total energy of the particle is
A neutron moving with velocity $u$ collides elastically with an atom of mass number $A$ . If the collision is head-on and the initial kinetic energy of neutron is $E$ , then the final kinetic energy of the neutron after collision is
KE acquired by a mass $m$ in travelling a certain distance $d$, starting from rest, under the action of a constant force $F$ is ..........